TL;DR
This paper reviews and extends the concept of tensorial connections, a tensorial object derived from connection properties, providing a comprehensive and systematic presentation of existing and new results.
Contribution
It consolidates previous findings on tensorial connections and introduces new properties, offering a complete and organized overview of this mathematical object.
Findings
Tensorial connection is a well-defined tensor derived from connection properties.
The paper provides a systematic compilation of known results on tensorial connections.
New properties and results related to tensorial connections are presented.
Abstract
In a series of recent papers, we have introduced an object that was constructed on the connection but which was proven to be a tensor: this object, thus called tensorial connection, has been defined and some of its properties have been given. In the present paper, we intend to present all the results found so far, complementing them with some new ones, in a systematic and organic manner.
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